In this report we study the Aizawa field by first computing a Taylor series
expansion for the solution of an initial value problem. We then look for singularities
(equilibrium points) of the field and plot the set of solutions which lie in the linear
subspace spanned by the eigenvectors. Finally, we use the Parameterization Method
to compute one and two dimensional stable and unstable manifolds of equilibria for
the system. / Includes bibliography. / Thesis (M.S.)--Florida Atlantic University, 2018. / FAU Electronic Theses and Dissertations Collection
| Identifer | oai:union.ndltd.org:fau.edu/oai:fau.digital.flvc.org:fau_40803 |
| Contributors | Fleurantin, Emmanuel (author), Mireles-James, Jason D. (Thesis advisor), Florida Atlantic University (Degree grantor), Charles E. Schmidt College of Science, Department of Mathematical Sciences |
| Publisher | Florida Atlantic University |
| Source Sets | Florida Atlantic University |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation, Text |
| Format | 56 p., application/pdf |
| Rights | Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder., http://rightsstatements.org/vocab/InC/1.0/ |
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